A) 196 | B) 186 |

C) 190 | D) 200 |

Explanation:

When at least 2 women are included.

The committee may consist of 3 women, 2 men : It can be done in $4{C}_{3}*6{C}_{2}$ ways

or, 4 women, 1 man : It can be done in $4{C}_{4}*6{C}_{1}$ways

or, 2 women, 3 men : It can be done in $4{C}_{2}*6{C}_{3}$ ways.

Total number of ways of forming the committees

= $4{C}_{2}*6{C}_{3}+4{C}_{3}*6{C}_{2}+4{C}_{4}*6{C}_{1}$

= 6 x 20 + 4 x 15 + 1x 6

= 120 + 60 + 6 =186

A) 25 : 28 | B) 36 : 7 |

C) 8 :25 | D) 12 : 7 |

A) M | B) J |

C) B | D) O |

Explanation:

Thus after arranging the letters as per English alphabetical series; we get; Thus 4th letter from the left end will be K.

A) 2 | B) 3 |

C) 4 | D) 5 |

A) T | B) X |

C) N | D) R |

Explanation:

The first, the seventh, the ninth and the tenth letters of the word RECREATIONAL are R, T, O and N respectively. Meaningful word from these letters is only TORN. The third letter of the word is ‘R’.

A) 16! × 2 | B) 14! × 2 |

C) 18! × 2 | D) 14! |

A) 1/5225 | B) 1/5525 |

C) 5525 | D) 1/525 |

Explanation:

n(S) = 52C3 = 132600/6 = 22100

n(E) = 4C3 = 24/6 = 4